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What is quantum entanglement and how does it differ from classical correlations between particles?

by EITCA Academy / Sunday, 06 August 2023 / Published in Quantum Information, EITC/QI/QIF Quantum Information Fundamentals, Quantum Entanglement, Entanglement, Examination review

Quantum entanglement is a fundamental concept in quantum mechanics that describes a strong correlation between particles, even when they are separated by large distances. It is a phenomenon that has intrigued scientists and philosophers alike since its discovery in the early 20th century.

In classical physics, particles can be described as separate entities with well-defined properties, such as position and momentum. These properties can be measured independently without any influence on each other. However, in the quantum realm, particles can become entangled, leading to a state where their properties are interconnected in a non-classical way.

To understand quantum entanglement, let's consider a simple example involving two particles, often referred to as qubits. Suppose we have two electrons in an entangled state. The state of the system cannot be described by the individual states of the electrons but rather by their joint state. This joint state can be a superposition of two possible outcomes, such as both electrons being spin up or both being spin down.

The remarkable aspect of entanglement is that the properties of the individual particles are not well-defined until a measurement is made. Instead, the entangled state describes a probabilistic distribution of possible outcomes for each particle. When one of the particles is measured, its state instantaneously collapses into a definite value, and the state of the other particle also collapses, even if it is far away. This instantaneous collapse of the state, regardless of the distance between the particles, is known as "spooky action at a distance," a term coined by Einstein.

One of the key differences between quantum entanglement and classical correlations is the nature of the correlations themselves. In classical systems, correlations between particles are limited by what is known as local realism. Local realism implies that the properties of particles have well-defined values before they are measured and that these properties are independent of the measurement process. However, quantum entanglement violates this principle by exhibiting correlations that cannot be explained by local realistic theories.

Quantum entanglement also displays a phenomenon called "non-locality," which refers to the fact that the correlations between entangled particles cannot be explained by any local mechanism. This non-locality was famously demonstrated in the Bell's theorem experiments, where measurements on entangled particles were shown to violate certain inequalities that would hold in a classical local realistic theory.

Another important distinction between classical correlations and quantum entanglement is the potential for applications in quantum information processing. The ability to create and manipulate entangled states lies at the heart of many quantum technologies, such as quantum computing and quantum communication. For example, entangled states can be used to perform certain computations more efficiently than classical computers or to enable secure communication protocols like quantum key distribution.

Quantum entanglement is a phenomenon in which the properties of particles become correlated in a way that cannot be explained by classical physics. It is characterized by non-local correlations that violate the principles of local realism. Quantum entanglement has profound implications for our understanding of the nature of reality and has paved the way for the development of quantum technologies.

Other recent questions and answers regarding EITC/QI/QIF Quantum Information Fundamentals:

  • Are amplitudes of quantum states always real numbers?
  • How the quantum negation gate (quantum NOT or Pauli-X gate) operates?
  • Why is the Hadamard gate self-reversible?
  • If measure the 1st qubit of the Bell state in a certain basis and then measure the 2nd qubit in a basis rotated by a certain angle theta, the probability that you will obtain projection to the corresponding vector is equal to the square of sine of theta?
  • How many bits of classical information would be required to describe the state of an arbitrary qubit superposition?
  • How many dimensions has a space of 3 qubits?
  • Will the measurement of a qubit destroy its quantum superposition?
  • Can quantum gates have more inputs than outputs similarily as classical gates?
  • Does the universal family of quantum gates include the CNOT gate and the Hadamard gate?
  • What is a double-slit experiment?

View more questions and answers in EITC/QI/QIF Quantum Information Fundamentals

More questions and answers:

  • Field: Quantum Information
  • Programme: EITC/QI/QIF Quantum Information Fundamentals (go to the certification programme)
  • Lesson: Quantum Entanglement (go to related lesson)
  • Topic: Entanglement (go to related topic)
  • Examination review
Tagged under: Non-locality, Quantum Communication, Quantum Computing, Quantum Information, Quantum Information Processing, Quantum Mechanics
Home » EITC/QI/QIF Quantum Information Fundamentals / Entanglement / Examination review / Quantum Entanglement / Quantum Information » What is quantum entanglement and how does it differ from classical correlations between particles?

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